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Finding the Third Proportional to 443,799 and 978,075

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Solution

The third proportional to 443,799 and 978,075 is: 2,155,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,799 : 978,075 = 978,075 : x
  2. Step 2: Convert to fraction form
    443,799/978,075 = 978,075/x
  3. Step 3: Cross multiply
    443,799x = 978,075 × 978,075
  4. Step 4: Simplify right side
    443,799x = 956,630,705,625
  5. Step 5: Solve for x
    x = 956,630,705,625/443,799
  6. Step 6: Final answer
    x = 2,155,549.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.